A man starts walking from home and walks 3 miles at north of west, then 5 miles at west of south, then 4 miles at north of east.
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Answer:
x= 5.6
Step-by-step explanation:
we will need to put the information we currently have into an equation:
10•2•x= 112
then multiply 10•2 which equals 20...then the equation wil turn out like this:
20•x=112
now you will isolate the x... but how?? dividing 20 by itslef.. cancelling it out, and if you do one thing to the other side of the equation, you have to do it to the other...
20/20•x=112/20
you will end up with x= 122/20
you can use a calculator for this step, but to practice long division... (check the screen shot thingie)
hope this helped !! ^^
Lagrange multipliers:
(if 
)
(if )
(if 
)
In the first octant, we assume
, so we can ignore the caveats above. Now,
so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of
.
We also need to check the boundary of the region, i.e. the intersection of
with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force 
, so the point we found is the only extremum.
In the first octant, we assume
so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of
We also need to check the boundary of the region, i.e. the intersection of